What is the Greatest Common Factor of 85494 and 85500?

Greatest common factor (GCF) of 85494 and 85500 is 6.

GCF(85494,85500) = 6

We will now calculate the prime factors of 85494 and 85500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85494 and 85500.

How to find the GCF of 85494 and 85500?

We will first find the prime factorization of 85494 and 85500. After we will calculate the factors of 85494 and 85500 and find the biggest common factor number .

Step-1: Prime Factorization of 85494

Prime factors of 85494 are 2, 3, 14249. Prime factorization of 85494 in exponential form is:

85494 = 2¹ × 3¹ × 14249¹

Step-2: Prime Factorization of 85500

Prime factors of 85500 are 2, 3, 5, 19. Prime factorization of 85500 in exponential form is:

85500 = 2² × 3² × 5³ × 19¹

Step-3: Factors of 85494

List of positive integer factors of 85494 that divides 85494 without a remainder.

1, 2, 3, 6, 14249, 28498, 42747

Step-4: Factors of 85500

List of positive integer factors of 85500 that divides 85494 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 125, 150, 171, 180, 190, 225, 228, 250, 285, 300, 342, 375, 380, 450, 475, 500, 570, 684, 750, 855, 900, 950, 1125, 1140, 1425, 1500, 1710, 1900, 2250, 2375, 2850, 3420, 4275, 4500, 4750, 5700, 7125, 8550, 9500, 14250, 17100, 21375, 28500, 42750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85494 and 85500. The biggest common factor number is the GCF number.
So the greatest common factor 85494 and 85500 is 6.

Also check out the Least Common Multiple of 85494 and 85500